151488000 has 240 divisors, whose sum is σ = 547706016. Its totient is φ = 40243200.

The previous prime is 151487983. The next prime is 151488019. The reversal of 151488000 is 884151.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×151488000² = 45897228288000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575869 + ... + 576131.

Almost surely, 2^151488000 is an apocalyptic number.

151488000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273853008).

151488000 is an abundant number, since it is smaller than the sum of its proper divisors (396218016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151488000 is an equidigital number, since it uses as much as digits as its factorization.

151488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 151488000 is about 12308.0461487598. The cubic root of 151488000 is about 533.0804356547.

The spelling of 151488000 in words is "one hundred fifty-one million, four hundred eighty-eight thousand".